Answer:
4 days
Solution,
____________________________
Men ------------------------------ Days 
4     ------------------------> 6
6  ------------------------> X (suppose)
_____________________________
In case of indirect proportion,
 4/6= 6/X
or, 6*X= 6*4 ( cross multiplication)
or, 6x= 24
   
or, 6x/6= 24/6 ( dividing both sides by 6)
 
 x= 4 days
Hope this helps...
Good luck on your assignment..